Value Questions

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 10

A shelf contains only books of poetry, short stories, and non-fiction. If Jana draws a book randomly off the shelf, what is the probability that the book will be non-fiction?

(1) There are 15 books on the shelf.

(2) There are 4 books of poetry and 5 books of short stories on the shelf.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.

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Correct Answer: C

Statement (1) doesn’t tell us anything about the breakdown of the different types of books, so we don’t know how likely Jana is to draw a non-fiction book. Eliminate A and D.

Statement (2) alone doesn’t tell us anything about the number of non-fiction books. So we can eliminate B.

Putting the statements together, we can tell that there are 6 non-fiction books on the shelf by subtracting 4 and 5 from 15. Therefore, Jana has a 6/15 or 2/5 probability of drawing a non-fiction book at random, and our answer is C.

Value Questions

Question: 10

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Correct Answer: C

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